Harmonicity of maps between (indefinite) metric-f-manifolds and rho-pseudo harmonic morphisms

Date

2003-10-01

Author

Erdem, S

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Conditions are investigated for maps to be harmonic between M(P)-f-manifolds with (semi-)Riemannian metrics. Also a geometrical condition, phi(r)-pseudo horizontally weak conformality [which is weaker than horizontally weak conformality when they are comparable], is imposed on maps of a (semi-) Riemannian manifold into a metric M(P)-f-manifold with (semi-) Riemannian metric and harmonicity of such maps are discussed. Some results obtained by Loubeau and Lichnerowicz in the almost Hermitian case are given here in both almost Hermitian and almost para-Hermitian cases.

Subject Keywords

Metric-(para)-f-manifold, (1,2)-symplectic manifold, harmonic map; rho(r)-pseudo harmonic morphism, Metric-(para)-F-manifold, (1,2)-Symplectic manifold, Harmonic map, Rho(R)-pseudo harmonic morphism

URI

https://hdl.handle.net/11511/63767

Journal

PUBLICATIONES MATHEMATICAE-DEBRECEN

Collections

Department of Mathematics, Article

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Citation Formats

S. Erdem, “Harmonicity of maps between (indefinite) metric-f-manifolds and rho-pseudo harmonic morphisms,” PUBLICATIONES MATHEMATICAE-DEBRECEN, pp. 317–341, 2003, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63767.